Which function represents a reflection of f(x) = Three-eighths(4)x across the y-axis? g(x) = NegativeThree-eighths (one-fourth)
2 answers:
The function which represents a reflection of f(x) is
g(x) = Three-eighths ⇒ last answer
Step-by-step explanation:
Let us revise the reflection across the axes
- If the function f(x) reflected across the x-axis, then its image is g(x) = - f(x)
- If the function f(x) reflected across the y-axis, then its image is g(x) = f(-x)
∵ Three-eighths =
∴
∵ f(x) is reflected across the y-axis
- That means the sign of x coordinates of the points on the graph will
change to opposite
∴ x will change to -x
∴
The function which represents a reflection of f(x) is
g(x) = Three-eighths
Learn more:
You can learn more about reflection in brainly.com/question/5017530
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Newtons method is a way to approximate the zero of a function.
It is a recursive method such that the output becomes the new input, the goal is to approach the zero by having the inputs change by a smaller amount each iteration until that change is nearly 0.
First, let me explain where the method comes from.
The formula is really just a manipulation of the slope formula using 2 points; the point tangent to the curve, and the point where the tangent line crosses the x-axis.
If (x,y) is point on curve, then (x*,0) is point on tangent line at x-axis.
Rearranging for x*:
This is the formula for newtons method. y = f(x), dy/dx = f'(x)
Now what happens is (x*,y*) becomes new point on curve with new tangent line with different slope.
This new line will cross x-axis at different point x** and so on until eventually f(x) gets really really close to 0.
Now for the example:
you need to take derivative f'(x) using product rule:
Then its just a matter of plugging in values for x, and repeating until we get close to a zero.
First plug in x = 1
Now we can stop because x5 = x4 to 6 decimals, this means f(x) is very close to 0 and will serve as a good approximation for a solution.
Final Answer:
x = 0.860334
It is a recursive method such that the output becomes the new input, the goal is to approach the zero by having the inputs change by a smaller amount each iteration until that change is nearly 0.
First, let me explain where the method comes from.
The formula is really just a manipulation of the slope formula using 2 points; the point tangent to the curve, and the point where the tangent line crosses the x-axis.
If (x,y) is point on curve, then (x*,0) is point on tangent line at x-axis.
Rearranging for x*:
This is the formula for newtons method. y = f(x), dy/dx = f'(x)
Now what happens is (x*,y*) becomes new point on curve with new tangent line with different slope.
This new line will cross x-axis at different point x** and so on until eventually f(x) gets really really close to 0.
Now for the example:
you need to take derivative f'(x) using product rule:
Then its just a matter of plugging in values for x, and repeating until we get close to a zero.
First plug in x = 1
Now we can stop because x5 = x4 to 6 decimals, this means f(x) is very close to 0 and will serve as a good approximation for a solution.
Final Answer:
x = 0.860334
Answer:
3.566%
Step-by-step explanation:
The probability formula for a poisson distribution is:
λ is the average of events
e is the euler's number
k is the number of events you want to know the probability
For this :
λ = 8.9 (on average the number of tickets is 8.9 per day)
k = 4 (you need to find the probability that exactly 4 tickets are written per day)